Note
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Group Lasso regularizationΒΆ
Comparison of solvers for problems with a group lasso regularization.
The group lasso regularization enters the optimization through
its proximal operator, which is implemented in copt through the
function prox of object copt.utils.GroupL1().
Out:
#features 100
beta = 0
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PGD: 31%|### | 1539/5000 [00:00<00:01, 2561.01it/s, iter=1.54e+03, step_size=0.893, tol=0.00268]
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/home/fabian/Dropbox/dev/copt/copt/proximal_gradient.py:146: RuntimeWarning: minimize_proximal_gradient did not reach the desired tolerance level
RuntimeWarning)
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PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2516.35it/s, iter=4.97e+03, step_size=0.893, tol=0.00114]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2516.22it/s, iter=4.98e+03, step_size=0.893, tol=0.00114]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2515.86it/s, iter=4.98e+03, step_size=0.893, tol=0.00114]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2515.73it/s, iter=4.98e+03, step_size=0.893, tol=0.00114]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2515.36it/s, iter=4.98e+03, step_size=0.893, tol=0.00114]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2515.23it/s, iter=4.98e+03, step_size=0.893, tol=0.00114]
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PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2514.74it/s, iter=4.98e+03, step_size=0.893, tol=0.00114]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2514.37it/s, iter=4.98e+03, step_size=0.893, tol=0.00114]
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PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2509.78it/s, iter=4.99e+03, step_size=0.893, tol=0.00114]
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PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2506.28it/s, iter=4.99e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2506.16it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2505.79it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2505.67it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2505.30it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2505.18it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2504.82it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2504.69it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2504.32it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 98%|#########7| 4890/5000 [00:01<00:00, 2504.20it/s, iter=5e+03, step_size=0.893, tol=0.00113]
PGD: 100%|##########| 5000/5000 [00:01<00:00, 2560.21it/s, iter=5e+03, step_size=0.893, tol=0.00113]
beta = 0.01
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PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1998.68it/s, iter=1.31e+03, step_size=0.893, tol=2.64e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1997.68it/s, iter=1.31e+03, step_size=0.893, tol=2.64e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1997.33it/s, iter=1.31e+03, step_size=0.893, tol=2.63e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1996.33it/s, iter=1.31e+03, step_size=0.893, tol=2.63e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1995.98it/s, iter=1.31e+03, step_size=0.893, tol=2.62e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1994.98it/s, iter=1.31e+03, step_size=0.893, tol=2.62e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1994.63it/s, iter=1.31e+03, step_size=0.893, tol=2.6e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1993.62it/s, iter=1.31e+03, step_size=0.893, tol=2.6e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1993.27it/s, iter=1.31e+03, step_size=0.893, tol=2.59e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1991.65it/s, iter=1.31e+03, step_size=0.893, tol=2.59e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1990.87it/s, iter=1.31e+03, step_size=0.893, tol=2.58e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1989.61it/s, iter=1.31e+03, step_size=0.893, tol=2.58e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1989.23it/s, iter=1.31e+03, step_size=0.893, tol=2.57e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1988.14it/s, iter=1.31e+03, step_size=0.893, tol=2.57e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1987.76it/s, iter=1.32e+03, step_size=0.893, tol=2.56e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1986.67it/s, iter=1.32e+03, step_size=0.893, tol=2.56e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1986.29it/s, iter=1.32e+03, step_size=0.893, tol=2.55e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1984.89it/s, iter=1.32e+03, step_size=0.893, tol=2.55e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1984.51it/s, iter=1.32e+03, step_size=0.893, tol=2.54e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1983.40it/s, iter=1.32e+03, step_size=0.893, tol=2.54e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1983.02it/s, iter=1.32e+03, step_size=0.893, tol=2.53e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1981.92it/s, iter=1.32e+03, step_size=0.893, tol=2.53e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1981.55it/s, iter=1.32e+03, step_size=0.893, tol=2.52e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1980.45it/s, iter=1.32e+03, step_size=0.893, tol=2.52e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1980.08it/s, iter=1.32e+03, step_size=0.893, tol=2.51e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1979.00it/s, iter=1.32e+03, step_size=0.893, tol=2.51e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1978.62it/s, iter=1.32e+03, step_size=0.893, tol=2.5e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1977.53it/s, iter=1.32e+03, step_size=0.893, tol=2.5e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1977.16it/s, iter=1.32e+03, step_size=0.893, tol=2.49e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1976.08it/s, iter=1.32e+03, step_size=0.893, tol=2.49e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1975.71it/s, iter=1.32e+03, step_size=0.893, tol=2.48e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1974.63it/s, iter=1.32e+03, step_size=0.893, tol=2.48e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1974.22it/s, iter=1.32e+03, step_size=0.893, tol=2.46e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1973.23it/s, iter=1.32e+03, step_size=0.893, tol=2.46e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1972.89it/s, iter=1.32e+03, step_size=0.893, tol=2.45e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1971.66it/s, iter=1.32e+03, step_size=0.893, tol=2.45e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1971.31it/s, iter=1.33e+03, step_size=0.893, tol=2.44e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1970.31it/s, iter=1.33e+03, step_size=0.893, tol=2.44e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1969.96it/s, iter=1.33e+03, step_size=0.893, tol=2.43e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1968.96it/s, iter=1.33e+03, step_size=0.893, tol=2.43e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1968.62it/s, iter=1.33e+03, step_size=0.893, tol=2.42e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1967.62it/s, iter=1.33e+03, step_size=0.893, tol=2.42e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1967.28it/s, iter=1.33e+03, step_size=0.893, tol=2.41e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1966.28it/s, iter=1.33e+03, step_size=0.893, tol=2.41e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1965.92it/s, iter=1.33e+03, step_size=0.893, tol=2.4e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1964.47it/s, iter=1.33e+03, step_size=0.893, tol=2.4e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1963.69it/s, iter=1.33e+03, step_size=0.893, tol=2.39e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1962.65it/s, iter=1.33e+03, step_size=0.893, tol=2.39e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1962.31it/s, iter=1.33e+03, step_size=0.893, tol=2.38e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1961.10it/s, iter=1.33e+03, step_size=0.893, tol=2.38e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1960.76it/s, iter=1.33e+03, step_size=0.893, tol=2.37e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1959.67it/s, iter=1.33e+03, step_size=0.893, tol=2.37e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1959.33it/s, iter=1.33e+03, step_size=0.893, tol=2.36e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1958.02it/s, iter=1.33e+03, step_size=0.893, tol=2.36e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1957.69it/s, iter=1.34e+03, step_size=0.893, tol=2.35e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1956.56it/s, iter=1.34e+03, step_size=0.893, tol=2.35e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1956.23it/s, iter=1.34e+03, step_size=0.893, tol=2.34e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1955.26it/s, iter=1.34e+03, step_size=0.893, tol=2.34e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1954.93it/s, iter=1.34e+03, step_size=0.893, tol=2.33e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1953.96it/s, iter=1.34e+03, step_size=0.893, tol=2.33e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1953.63it/s, iter=1.34e+03, step_size=0.893, tol=2.32e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1952.67it/s, iter=1.34e+03, step_size=0.893, tol=2.32e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1952.34it/s, iter=1.34e+03, step_size=0.893, tol=2.31e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1951.07it/s, iter=1.34e+03, step_size=0.893, tol=2.31e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1950.49it/s, iter=1.34e+03, step_size=0.893, tol=2.3e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1948.98it/s, iter=1.34e+03, step_size=0.893, tol=2.3e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1948.65it/s, iter=1.34e+03, step_size=0.893, tol=2.29e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1947.69it/s, iter=1.34e+03, step_size=0.893, tol=2.29e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1947.36it/s, iter=1.34e+03, step_size=0.893, tol=2.28e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1946.28it/s, iter=1.34e+03, step_size=0.893, tol=2.28e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1945.94it/s, iter=1.34e+03, step_size=0.893, tol=2.27e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1944.83it/s, iter=1.34e+03, step_size=0.893, tol=2.27e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1944.49it/s, iter=1.34e+03, step_size=0.893, tol=2.27e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1943.53it/s, iter=1.34e+03, step_size=0.893, tol=2.27e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1943.20it/s, iter=1.34e+03, step_size=0.893, tol=2.26e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1942.24it/s, iter=1.34e+03, step_size=0.893, tol=2.26e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1941.91it/s, iter=1.35e+03, step_size=0.893, tol=2.25e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1940.96it/s, iter=1.35e+03, step_size=0.893, tol=2.25e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1940.63it/s, iter=1.35e+03, step_size=0.893, tol=2.24e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1939.68it/s, iter=1.35e+03, step_size=0.893, tol=2.24e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1939.35it/s, iter=1.35e+03, step_size=0.893, tol=2.23e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1938.13it/s, iter=1.35e+03, step_size=0.893, tol=2.23e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1937.34it/s, iter=1.35e+03, step_size=0.893, tol=2.22e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1935.96it/s, iter=1.35e+03, step_size=0.893, tol=2.22e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1935.63it/s, iter=1.35e+03, step_size=0.893, tol=2.21e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1934.68it/s, iter=1.35e+03, step_size=0.893, tol=2.21e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1934.35it/s, iter=1.35e+03, step_size=0.893, tol=2.2e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1933.30it/s, iter=1.35e+03, step_size=0.893, tol=2.2e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1932.97it/s, iter=1.35e+03, step_size=0.893, tol=2.19e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1931.80it/s, iter=1.35e+03, step_size=0.893, tol=2.19e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1931.40it/s, iter=1.35e+03, step_size=0.893, tol=2.18e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1930.38it/s, iter=1.35e+03, step_size=0.893, tol=2.18e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1929.95it/s, iter=1.35e+03, step_size=0.893, tol=2.17e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1928.95it/s, iter=1.35e+03, step_size=0.893, tol=2.17e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:01, 1928.55it/s, iter=1.36e+03, step_size=0.893, tol=2.16e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1927.54it/s, iter=1.36e+03, step_size=0.893, tol=2.16e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1927.16it/s, iter=1.36e+03, step_size=0.893, tol=2.15e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1926.22it/s, iter=1.36e+03, step_size=0.893, tol=2.15e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1925.90it/s, iter=1.36e+03, step_size=0.893, tol=2.14e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1924.96it/s, iter=1.36e+03, step_size=0.893, tol=2.14e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1924.64it/s, iter=1.36e+03, step_size=0.893, tol=2.14e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1923.59it/s, iter=1.36e+03, step_size=0.893, tol=2.14e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1923.19it/s, iter=1.36e+03, step_size=0.893, tol=2.13e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1922.22it/s, iter=1.36e+03, step_size=0.893, tol=2.13e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1921.89it/s, iter=1.36e+03, step_size=0.893, tol=2.12e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1920.97it/s, iter=1.36e+03, step_size=0.893, tol=2.12e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1920.65it/s, iter=1.36e+03, step_size=0.893, tol=2.11e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1919.72it/s, iter=1.36e+03, step_size=0.893, tol=2.11e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1919.40it/s, iter=1.36e+03, step_size=0.893, tol=2.1e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1918.27it/s, iter=1.36e+03, step_size=0.893, tol=2.1e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1917.95it/s, iter=1.36e+03, step_size=0.893, tol=2.09e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1917.02it/s, iter=1.36e+03, step_size=0.893, tol=2.09e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1916.70it/s, iter=1.36e+03, step_size=0.893, tol=2.08e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1915.77it/s, iter=1.36e+03, step_size=0.893, tol=2.08e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1915.46it/s, iter=1.36e+03, step_size=0.893, tol=2.07e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1914.53it/s, iter=1.36e+03, step_size=0.893, tol=2.07e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1914.21it/s, iter=1.37e+03, step_size=0.893, tol=2.06e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1913.29it/s, iter=1.37e+03, step_size=0.893, tol=2.06e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1912.97it/s, iter=1.37e+03, step_size=0.893, tol=2.06e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1911.14it/s, iter=1.37e+03, step_size=0.893, tol=2.06e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1910.77it/s, iter=1.37e+03, step_size=0.893, tol=2.05e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1909.84it/s, iter=1.37e+03, step_size=0.893, tol=2.05e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1909.52it/s, iter=1.37e+03, step_size=0.893, tol=2.04e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1908.50it/s, iter=1.37e+03, step_size=0.893, tol=2.04e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1908.18it/s, iter=1.37e+03, step_size=0.893, tol=2.03e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1907.16it/s, iter=1.37e+03, step_size=0.893, tol=2.03e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1906.84it/s, iter=1.37e+03, step_size=0.893, tol=2.02e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1905.65it/s, iter=1.37e+03, step_size=0.893, tol=2.02e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1905.34it/s, iter=1.37e+03, step_size=0.893, tol=2.01e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1904.22it/s, iter=1.37e+03, step_size=0.893, tol=2.01e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1903.91it/s, iter=1.37e+03, step_size=0.893, tol=2e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1902.99it/s, iter=1.37e+03, step_size=0.893, tol=2e-05]
PGD: 23%|##2 | 1143/5000 [00:00<00:02, 1902.68it/s, iter=1.37e+03, step_size=0.893, tol=2e-05]
PGD: 28%|##7 | 1375/5000 [00:00<00:01, 2288.60it/s, iter=1.37e+03, step_size=0.893, tol=2e-05]
PGD: 28%|##7 | 1375/5000 [00:00<00:01, 2287.40it/s, iter=1.37e+03, step_size=0.893, tol=2e-05]
PGD: 28%|##7 | 1375/5000 [00:00<00:01, 2287.02it/s, iter=1.38e+03, step_size=0.893, tol=1.99e-05]
PGD: 28%|##7 | 1375/5000 [00:00<00:01, 2285.92it/s, iter=1.38e+03, step_size=0.893, tol=1.99e-05]
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PGD: 37%|###6 | 1827/5000 [00:00<00:01, 2280.46it/s, iter=1.83e+03, step_size=0.893, tol=2.98e-06]
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PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2010.57it/s, iter=1.16e+03, step_size=0.893, tol=4.87e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2009.39it/s, iter=1.16e+03, step_size=0.893, tol=4.87e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2009.02it/s, iter=1.16e+03, step_size=0.893, tol=4.85e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2007.94it/s, iter=1.16e+03, step_size=0.893, tol=4.85e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2007.57it/s, iter=1.16e+03, step_size=0.893, tol=4.83e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2006.50it/s, iter=1.16e+03, step_size=0.893, tol=4.83e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2006.13it/s, iter=1.17e+03, step_size=0.893, tol=4.81e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2005.06it/s, iter=1.17e+03, step_size=0.893, tol=4.81e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2004.70it/s, iter=1.17e+03, step_size=0.893, tol=4.79e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2003.63it/s, iter=1.17e+03, step_size=0.893, tol=4.79e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2003.27it/s, iter=1.17e+03, step_size=0.893, tol=4.77e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2001.91it/s, iter=1.17e+03, step_size=0.893, tol=4.77e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2001.53it/s, iter=1.17e+03, step_size=0.893, tol=4.75e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2000.47it/s, iter=1.17e+03, step_size=0.893, tol=4.75e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 2000.10it/s, iter=1.17e+03, step_size=0.893, tol=4.73e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1999.03it/s, iter=1.17e+03, step_size=0.893, tol=4.73e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1998.67it/s, iter=1.17e+03, step_size=0.893, tol=4.71e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1997.60it/s, iter=1.17e+03, step_size=0.893, tol=4.71e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1997.23it/s, iter=1.17e+03, step_size=0.893, tol=4.69e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1996.17it/s, iter=1.17e+03, step_size=0.893, tol=4.69e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1995.80it/s, iter=1.17e+03, step_size=0.893, tol=4.67e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1993.92it/s, iter=1.17e+03, step_size=0.893, tol=4.67e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1993.36it/s, iter=1.17e+03, step_size=0.893, tol=4.65e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1992.31it/s, iter=1.17e+03, step_size=0.893, tol=4.65e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1991.94it/s, iter=1.18e+03, step_size=0.893, tol=4.63e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1990.84it/s, iter=1.18e+03, step_size=0.893, tol=4.63e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1990.42it/s, iter=1.18e+03, step_size=0.893, tol=4.61e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1988.66it/s, iter=1.18e+03, step_size=0.893, tol=4.61e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1987.71it/s, iter=1.18e+03, step_size=0.893, tol=4.59e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1985.90it/s, iter=1.18e+03, step_size=0.893, tol=4.59e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1985.03it/s, iter=1.18e+03, step_size=0.893, tol=4.57e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1982.48it/s, iter=1.18e+03, step_size=0.893, tol=4.57e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1981.55it/s, iter=1.18e+03, step_size=0.893, tol=4.55e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1979.89it/s, iter=1.18e+03, step_size=0.893, tol=4.55e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1979.18it/s, iter=1.18e+03, step_size=0.893, tol=4.53e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1977.98it/s, iter=1.18e+03, step_size=0.893, tol=4.53e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1977.61it/s, iter=1.18e+03, step_size=0.893, tol=4.52e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1976.29it/s, iter=1.18e+03, step_size=0.893, tol=4.52e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1975.92it/s, iter=1.18e+03, step_size=0.893, tol=4.5e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1974.87it/s, iter=1.18e+03, step_size=0.893, tol=4.5e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1974.51it/s, iter=1.18e+03, step_size=0.893, tol=4.48e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1973.10it/s, iter=1.18e+03, step_size=0.893, tol=4.48e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1972.74it/s, iter=1.18e+03, step_size=0.893, tol=4.46e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1971.72it/s, iter=1.18e+03, step_size=0.893, tol=4.46e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1971.36it/s, iter=1.18e+03, step_size=0.893, tol=4.44e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1970.33it/s, iter=1.18e+03, step_size=0.893, tol=4.44e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1969.97it/s, iter=1.19e+03, step_size=0.893, tol=4.42e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1968.94it/s, iter=1.19e+03, step_size=0.893, tol=4.42e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1968.58it/s, iter=1.19e+03, step_size=0.893, tol=4.4e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1967.41it/s, iter=1.19e+03, step_size=0.893, tol=4.4e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1967.06it/s, iter=1.19e+03, step_size=0.893, tol=4.38e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1965.64it/s, iter=1.19e+03, step_size=0.893, tol=4.38e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1964.71it/s, iter=1.19e+03, step_size=0.893, tol=4.36e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1963.35it/s, iter=1.19e+03, step_size=0.893, tol=4.36e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1963.00it/s, iter=1.19e+03, step_size=0.893, tol=4.35e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1961.97it/s, iter=1.19e+03, step_size=0.893, tol=4.35e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1961.62it/s, iter=1.19e+03, step_size=0.893, tol=4.33e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1960.49it/s, iter=1.19e+03, step_size=0.893, tol=4.33e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:01, 1960.14it/s, iter=1.19e+03, step_size=0.893, tol=4.31e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1958.81it/s, iter=1.19e+03, step_size=0.893, tol=4.31e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1958.46it/s, iter=1.19e+03, step_size=0.893, tol=4.29e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1957.44it/s, iter=1.19e+03, step_size=0.893, tol=4.29e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1957.09it/s, iter=1.19e+03, step_size=0.893, tol=4.27e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1955.97it/s, iter=1.19e+03, step_size=0.893, tol=4.27e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1955.62it/s, iter=1.2e+03, step_size=0.893, tol=4.26e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1954.60it/s, iter=1.2e+03, step_size=0.893, tol=4.26e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1954.24it/s, iter=1.2e+03, step_size=0.893, tol=4.24e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1953.23it/s, iter=1.2e+03, step_size=0.893, tol=4.24e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1952.88it/s, iter=1.2e+03, step_size=0.893, tol=4.22e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1951.87it/s, iter=1.2e+03, step_size=0.893, tol=4.22e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1951.52it/s, iter=1.2e+03, step_size=0.893, tol=4.2e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1950.51it/s, iter=1.2e+03, step_size=0.893, tol=4.2e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1950.16it/s, iter=1.2e+03, step_size=0.893, tol=4.18e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1949.15it/s, iter=1.2e+03, step_size=0.893, tol=4.18e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1948.80it/s, iter=1.2e+03, step_size=0.893, tol=4.17e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1947.79it/s, iter=1.2e+03, step_size=0.893, tol=4.17e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1947.45it/s, iter=1.2e+03, step_size=0.893, tol=4.15e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1946.44it/s, iter=1.2e+03, step_size=0.893, tol=4.15e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1946.09it/s, iter=1.2e+03, step_size=0.893, tol=4.13e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1944.79it/s, iter=1.2e+03, step_size=0.893, tol=4.13e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1944.44it/s, iter=1.2e+03, step_size=0.893, tol=4.11e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1943.44it/s, iter=1.2e+03, step_size=0.893, tol=4.11e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1942.89it/s, iter=1.2e+03, step_size=0.893, tol=4.1e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1941.83it/s, iter=1.2e+03, step_size=0.893, tol=4.1e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1941.49it/s, iter=1.20e+03, step_size=0.893, tol=4.08e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1940.49it/s, iter=1.20e+03, step_size=0.893, tol=4.08e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1940.14it/s, iter=1.21e+03, step_size=0.893, tol=4.06e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1939.15it/s, iter=1.21e+03, step_size=0.893, tol=4.06e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1938.81it/s, iter=1.21e+03, step_size=0.893, tol=4.04e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1937.35it/s, iter=1.21e+03, step_size=0.893, tol=4.04e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1936.74it/s, iter=1.21e+03, step_size=0.893, tol=4.03e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1935.51it/s, iter=1.21e+03, step_size=0.893, tol=4.03e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1935.09it/s, iter=1.21e+03, step_size=0.893, tol=4.01e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1933.86it/s, iter=1.21e+03, step_size=0.893, tol=4.01e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1933.44it/s, iter=1.21e+03, step_size=0.893, tol=3.99e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1932.21it/s, iter=1.21e+03, step_size=0.893, tol=3.99e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1931.79it/s, iter=1.21e+03, step_size=0.893, tol=3.98e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1929.11it/s, iter=1.21e+03, step_size=0.893, tol=3.98e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1928.01it/s, iter=1.21e+03, step_size=0.893, tol=3.96e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1925.90it/s, iter=1.21e+03, step_size=0.893, tol=3.96e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1925.18it/s, iter=1.21e+03, step_size=0.893, tol=3.94e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1922.67it/s, iter=1.21e+03, step_size=0.893, tol=3.94e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1922.06it/s, iter=1.21e+03, step_size=0.893, tol=3.93e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1920.84it/s, iter=1.21e+03, step_size=0.893, tol=3.93e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1920.34it/s, iter=1.22e+03, step_size=0.893, tol=3.91e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1919.11it/s, iter=1.22e+03, step_size=0.893, tol=3.91e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1918.73it/s, iter=1.22e+03, step_size=0.893, tol=3.89e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1917.38it/s, iter=1.22e+03, step_size=0.893, tol=3.89e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1917.00it/s, iter=1.22e+03, step_size=0.893, tol=3.88e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1915.62it/s, iter=1.22e+03, step_size=0.893, tol=3.88e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1915.10it/s, iter=1.22e+03, step_size=0.893, tol=3.86e-05]
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PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1913.40it/s, iter=1.22e+03, step_size=0.893, tol=3.84e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1912.30it/s, iter=1.22e+03, step_size=0.893, tol=3.84e-05]
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PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1910.83it/s, iter=1.22e+03, step_size=0.893, tol=3.83e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1910.26it/s, iter=1.22e+03, step_size=0.893, tol=3.81e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1908.41it/s, iter=1.22e+03, step_size=0.893, tol=3.81e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1908.03it/s, iter=1.22e+03, step_size=0.893, tol=3.8e-05]
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PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1906.57it/s, iter=1.22e+03, step_size=0.893, tol=3.78e-05]
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PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1905.12it/s, iter=1.22e+03, step_size=0.893, tol=3.76e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1903.78it/s, iter=1.22e+03, step_size=0.893, tol=3.76e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1903.40it/s, iter=1.22e+03, step_size=0.893, tol=3.75e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1902.34it/s, iter=1.22e+03, step_size=0.893, tol=3.75e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1901.99it/s, iter=1.23e+03, step_size=0.893, tol=3.73e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1900.99it/s, iter=1.23e+03, step_size=0.893, tol=3.73e-05]
PGD: 22%|##1 | 1081/5000 [00:00<00:02, 1900.65it/s, iter=1.23e+03, step_size=0.893, tol=3.72e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2109.80it/s, iter=1.34e+03, step_size=0.893, tol=2.35e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2053.91it/s, iter=1.38e+03, step_size=0.893, tol=1.99e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2041.39it/s, iter=1.38e+03, step_size=0.893, tol=1.91e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2041.02it/s, iter=1.38e+03, step_size=0.893, tol=1.91e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2040.01it/s, iter=1.38e+03, step_size=0.893, tol=1.91e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2039.69it/s, iter=1.39e+03, step_size=0.893, tol=1.9e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2027.71it/s, iter=1.4e+03, step_size=0.893, tol=1.83e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2021.87it/s, iter=1.4e+03, step_size=0.893, tol=1.8e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2021.51it/s, iter=1.4e+03, step_size=0.893, tol=1.8e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2020.32it/s, iter=1.4e+03, step_size=0.893, tol=1.8e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2020.00it/s, iter=1.4e+03, step_size=0.893, tol=1.79e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2019.08it/s, iter=1.4e+03, step_size=0.893, tol=1.79e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2018.66it/s, iter=1.4e+03, step_size=0.893, tol=1.78e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2017.66it/s, iter=1.4e+03, step_size=0.893, tol=1.78e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2017.34it/s, iter=1.4e+03, step_size=0.893, tol=1.77e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2016.43it/s, iter=1.4e+03, step_size=0.893, tol=1.77e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2016.11it/s, iter=1.4e+03, step_size=0.893, tol=1.77e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2015.19it/s, iter=1.4e+03, step_size=0.893, tol=1.77e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2014.88it/s, iter=1.4e+03, step_size=0.893, tol=1.76e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2013.96it/s, iter=1.4e+03, step_size=0.893, tol=1.76e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2013.65it/s, iter=1.40e+03, step_size=0.893, tol=1.75e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2012.42it/s, iter=1.41e+03, step_size=0.893, tol=1.74e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2010.28it/s, iter=1.41e+03, step_size=0.893, tol=1.74e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2001.21it/s, iter=1.42e+03, step_size=0.893, tol=1.68e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 2000.00it/s, iter=1.42e+03, step_size=0.893, tol=1.67e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1999.10it/s, iter=1.42e+03, step_size=0.893, tol=1.67e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1998.79it/s, iter=1.42e+03, step_size=0.893, tol=1.66e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1995.37it/s, iter=1.42e+03, step_size=0.893, tol=1.65e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1992.98it/s, iter=1.42e+03, step_size=0.893, tol=1.64e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1992.67it/s, iter=1.42e+03, step_size=0.893, tol=1.63e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1991.78it/s, iter=1.42e+03, step_size=0.893, tol=1.63e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1991.47it/s, iter=1.42e+03, step_size=0.893, tol=1.62e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1990.58it/s, iter=1.42e+03, step_size=0.893, tol=1.62e-05]
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PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1989.02it/s, iter=1.42e+03, step_size=0.893, tol=1.61e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1988.12it/s, iter=1.42e+03, step_size=0.893, tol=1.61e-05]
PGD: 26%|##6 | 1301/5000 [00:00<00:01, 1987.81it/s, iter=1.43e+03, step_size=0.893, tol=1.6e-05]
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PGD: 31%|### | 1543/5000 [00:00<00:01, 2199.48it/s, iter=1.54e+03, step_size=0.893, tol=9.84e-06]
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PGD: 31%|### | 1543/5000 [00:00<00:01, 2005.61it/s, iter=1.71e+03, step_size=0.893, tol=4.79e-06]
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PGD: 31%|### | 1543/5000 [00:00<00:01, 2004.64it/s, iter=1.71e+03, step_size=0.893, tol=4.77e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2004.39it/s, iter=1.72e+03, step_size=0.893, tol=4.75e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2003.62it/s, iter=1.72e+03, step_size=0.893, tol=4.75e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2003.37it/s, iter=1.72e+03, step_size=0.893, tol=4.73e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2002.64it/s, iter=1.72e+03, step_size=0.893, tol=4.73e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2002.40it/s, iter=1.72e+03, step_size=0.893, tol=4.71e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2001.67it/s, iter=1.72e+03, step_size=0.893, tol=4.71e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2001.43it/s, iter=1.72e+03, step_size=0.893, tol=4.7e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2000.48it/s, iter=1.72e+03, step_size=0.893, tol=4.7e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 2000.11it/s, iter=1.72e+03, step_size=0.893, tol=4.68e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1998.51it/s, iter=1.72e+03, step_size=0.893, tol=4.68e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1998.24it/s, iter=1.72e+03, step_size=0.893, tol=4.66e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1997.50it/s, iter=1.72e+03, step_size=0.893, tol=4.66e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1997.25it/s, iter=1.72e+03, step_size=0.893, tol=4.64e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1996.53it/s, iter=1.72e+03, step_size=0.893, tol=4.64e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1996.28it/s, iter=1.72e+03, step_size=0.893, tol=4.62e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1995.55it/s, iter=1.72e+03, step_size=0.893, tol=4.62e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1995.31it/s, iter=1.72e+03, step_size=0.893, tol=4.6e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1994.59it/s, iter=1.72e+03, step_size=0.893, tol=4.6e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1994.34it/s, iter=1.72e+03, step_size=0.893, tol=4.58e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1993.62it/s, iter=1.72e+03, step_size=0.893, tol=4.58e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1993.37it/s, iter=1.72e+03, step_size=0.893, tol=4.56e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1992.65it/s, iter=1.72e+03, step_size=0.893, tol=4.56e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1992.40it/s, iter=1.73e+03, step_size=0.893, tol=4.54e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1991.68it/s, iter=1.73e+03, step_size=0.893, tol=4.54e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1991.43it/s, iter=1.73e+03, step_size=0.893, tol=4.52e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1990.72it/s, iter=1.73e+03, step_size=0.893, tol=4.52e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1990.47it/s, iter=1.73e+03, step_size=0.893, tol=4.5e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1989.76it/s, iter=1.73e+03, step_size=0.893, tol=4.5e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1989.51it/s, iter=1.73e+03, step_size=0.893, tol=4.48e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1988.64it/s, iter=1.73e+03, step_size=0.893, tol=4.48e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1988.40it/s, iter=1.73e+03, step_size=0.893, tol=4.46e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1987.69it/s, iter=1.73e+03, step_size=0.893, tol=4.46e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1987.37it/s, iter=1.73e+03, step_size=0.893, tol=4.45e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1986.65it/s, iter=1.73e+03, step_size=0.893, tol=4.45e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1986.40it/s, iter=1.73e+03, step_size=0.893, tol=4.43e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1985.69it/s, iter=1.73e+03, step_size=0.893, tol=4.43e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1985.45it/s, iter=1.73e+03, step_size=0.893, tol=4.41e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1984.74it/s, iter=1.73e+03, step_size=0.893, tol=4.41e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1984.49it/s, iter=1.73e+03, step_size=0.893, tol=4.39e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1983.77it/s, iter=1.73e+03, step_size=0.893, tol=4.39e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1983.53it/s, iter=1.74e+03, step_size=0.893, tol=4.37e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1982.82it/s, iter=1.74e+03, step_size=0.893, tol=4.37e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1982.58it/s, iter=1.74e+03, step_size=0.893, tol=4.35e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1981.87it/s, iter=1.74e+03, step_size=0.893, tol=4.35e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1981.63it/s, iter=1.74e+03, step_size=0.893, tol=4.34e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1980.91it/s, iter=1.74e+03, step_size=0.893, tol=4.34e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1980.67it/s, iter=1.74e+03, step_size=0.893, tol=4.32e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1979.96it/s, iter=1.74e+03, step_size=0.893, tol=4.32e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1979.72it/s, iter=1.74e+03, step_size=0.893, tol=4.3e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1978.91it/s, iter=1.74e+03, step_size=0.893, tol=4.3e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1978.66it/s, iter=1.74e+03, step_size=0.893, tol=4.28e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1977.96it/s, iter=1.74e+03, step_size=0.893, tol=4.28e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1977.71it/s, iter=1.74e+03, step_size=0.893, tol=4.26e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1977.01it/s, iter=1.74e+03, step_size=0.893, tol=4.26e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1976.77it/s, iter=1.74e+03, step_size=0.893, tol=4.25e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1976.07it/s, iter=1.74e+03, step_size=0.893, tol=4.25e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1975.83it/s, iter=1.74e+03, step_size=0.893, tol=4.23e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1975.12it/s, iter=1.74e+03, step_size=0.893, tol=4.23e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1974.88it/s, iter=1.74e+03, step_size=0.893, tol=4.21e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1974.13it/s, iter=1.74e+03, step_size=0.893, tol=4.21e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1973.88it/s, iter=1.74e+03, step_size=0.893, tol=4.19e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1973.18it/s, iter=1.74e+03, step_size=0.893, tol=4.19e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1972.93it/s, iter=1.75e+03, step_size=0.893, tol=4.17e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1972.24it/s, iter=1.75e+03, step_size=0.893, tol=4.17e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1972.00it/s, iter=1.75e+03, step_size=0.893, tol=4.16e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1971.30it/s, iter=1.75e+03, step_size=0.893, tol=4.16e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1971.07it/s, iter=1.75e+03, step_size=0.893, tol=4.14e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1970.37it/s, iter=1.75e+03, step_size=0.893, tol=4.14e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1970.13it/s, iter=1.75e+03, step_size=0.893, tol=4.12e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1969.44it/s, iter=1.75e+03, step_size=0.893, tol=4.12e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1969.19it/s, iter=1.75e+03, step_size=0.893, tol=4.11e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1968.39it/s, iter=1.75e+03, step_size=0.893, tol=4.11e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1968.15it/s, iter=1.75e+03, step_size=0.893, tol=4.09e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1967.45it/s, iter=1.75e+03, step_size=0.893, tol=4.09e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1967.21it/s, iter=1.75e+03, step_size=0.893, tol=4.07e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1966.52it/s, iter=1.75e+03, step_size=0.893, tol=4.07e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1966.28it/s, iter=1.75e+03, step_size=0.893, tol=4.05e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1965.59it/s, iter=1.75e+03, step_size=0.893, tol=4.05e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1965.35it/s, iter=1.75e+03, step_size=0.893, tol=4.04e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1964.65it/s, iter=1.75e+03, step_size=0.893, tol=4.04e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1964.41it/s, iter=1.76e+03, step_size=0.893, tol=4.02e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1963.71it/s, iter=1.76e+03, step_size=0.893, tol=4.02e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1963.47it/s, iter=1.76e+03, step_size=0.893, tol=4e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1962.77it/s, iter=1.76e+03, step_size=0.893, tol=4e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1962.53it/s, iter=1.76e+03, step_size=0.893, tol=3.99e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1961.83it/s, iter=1.76e+03, step_size=0.893, tol=3.99e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1961.59it/s, iter=1.76e+03, step_size=0.893, tol=3.97e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1960.89it/s, iter=1.76e+03, step_size=0.893, tol=3.97e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1960.65it/s, iter=1.76e+03, step_size=0.893, tol=3.95e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1959.95it/s, iter=1.76e+03, step_size=0.893, tol=3.95e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1959.71it/s, iter=1.76e+03, step_size=0.893, tol=3.94e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1959.00it/s, iter=1.76e+03, step_size=0.893, tol=3.94e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1958.76it/s, iter=1.76e+03, step_size=0.893, tol=3.92e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1958.06it/s, iter=1.76e+03, step_size=0.893, tol=3.92e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1957.82it/s, iter=1.76e+03, step_size=0.893, tol=3.9e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1957.13it/s, iter=1.76e+03, step_size=0.893, tol=3.9e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1956.89it/s, iter=1.76e+03, step_size=0.893, tol=3.89e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1956.19it/s, iter=1.76e+03, step_size=0.893, tol=3.89e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1955.95it/s, iter=1.76e+03, step_size=0.893, tol=3.87e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1955.25it/s, iter=1.76e+03, step_size=0.893, tol=3.87e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1955.01it/s, iter=1.76e+03, step_size=0.893, tol=3.85e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1954.32it/s, iter=1.76e+03, step_size=0.893, tol=3.85e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1954.08it/s, iter=1.77e+03, step_size=0.893, tol=3.84e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1953.40it/s, iter=1.77e+03, step_size=0.893, tol=3.84e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1953.16it/s, iter=1.77e+03, step_size=0.893, tol=3.82e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1952.47it/s, iter=1.77e+03, step_size=0.893, tol=3.82e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1952.24it/s, iter=1.77e+03, step_size=0.893, tol=3.81e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1951.56it/s, iter=1.77e+03, step_size=0.893, tol=3.81e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1951.32it/s, iter=1.77e+03, step_size=0.893, tol=3.79e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1950.64it/s, iter=1.77e+03, step_size=0.893, tol=3.79e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1950.40it/s, iter=1.77e+03, step_size=0.893, tol=3.77e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1949.72it/s, iter=1.77e+03, step_size=0.893, tol=3.77e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1949.48it/s, iter=1.77e+03, step_size=0.893, tol=3.76e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1948.78it/s, iter=1.77e+03, step_size=0.893, tol=3.76e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1948.54it/s, iter=1.77e+03, step_size=0.893, tol=3.74e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1947.86it/s, iter=1.77e+03, step_size=0.893, tol=3.74e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1947.63it/s, iter=1.77e+03, step_size=0.893, tol=3.73e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1946.94it/s, iter=1.77e+03, step_size=0.893, tol=3.73e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1946.71it/s, iter=1.77e+03, step_size=0.893, tol=3.71e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1946.02it/s, iter=1.77e+03, step_size=0.893, tol=3.71e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1945.73it/s, iter=1.78e+03, step_size=0.893, tol=3.7e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1944.98it/s, iter=1.78e+03, step_size=0.893, tol=3.7e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1944.74it/s, iter=1.78e+03, step_size=0.893, tol=3.68e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1943.91it/s, iter=1.78e+03, step_size=0.893, tol=3.68e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1943.64it/s, iter=1.78e+03, step_size=0.893, tol=3.67e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1942.95it/s, iter=1.78e+03, step_size=0.893, tol=3.67e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1942.72it/s, iter=1.78e+03, step_size=0.893, tol=3.65e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1942.03it/s, iter=1.78e+03, step_size=0.893, tol=3.65e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1941.80it/s, iter=1.78e+03, step_size=0.893, tol=3.63e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1941.12it/s, iter=1.78e+03, step_size=0.893, tol=3.63e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1940.88it/s, iter=1.78e+03, step_size=0.893, tol=3.62e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1940.21it/s, iter=1.78e+03, step_size=0.893, tol=3.62e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1939.98it/s, iter=1.78e+03, step_size=0.893, tol=3.6e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1939.29it/s, iter=1.78e+03, step_size=0.893, tol=3.6e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1939.05it/s, iter=1.78e+03, step_size=0.893, tol=3.59e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1938.38it/s, iter=1.78e+03, step_size=0.893, tol=3.59e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1938.15it/s, iter=1.78e+03, step_size=0.893, tol=3.57e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1937.47it/s, iter=1.78e+03, step_size=0.893, tol=3.57e-06]
PGD: 31%|### | 1543/5000 [00:00<00:01, 1937.24it/s, iter=1.78e+03, step_size=0.893, tol=3.56e-06]
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PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2021.99it/s, iter=2.01e+03, step_size=0.893, tol=1.4e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2021.33it/s, iter=2.01e+03, step_size=0.893, tol=1.4e-06]
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PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2020.45it/s, iter=2.01e+03, step_size=0.893, tol=1.39e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2020.22it/s, iter=2.01e+03, step_size=0.893, tol=1.39e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2019.57it/s, iter=2.01e+03, step_size=0.893, tol=1.39e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2019.34it/s, iter=2.01e+03, step_size=0.893, tol=1.38e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2018.68it/s, iter=2.01e+03, step_size=0.893, tol=1.38e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2018.46it/s, iter=2.01e+03, step_size=0.893, tol=1.37e-06]
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PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2017.56it/s, iter=2.01e+03, step_size=0.893, tol=1.37e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2016.91it/s, iter=2.01e+03, step_size=0.893, tol=1.37e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2016.67it/s, iter=2.01e+03, step_size=0.893, tol=1.36e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2016.02it/s, iter=2.01e+03, step_size=0.893, tol=1.36e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2015.80it/s, iter=2.01e+03, step_size=0.893, tol=1.36e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2015.14it/s, iter=2.01e+03, step_size=0.893, tol=1.36e-06]
PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2014.92it/s, iter=2.02e+03, step_size=0.893, tol=1.35e-06]
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PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2012.89it/s, iter=2.02e+03, step_size=0.893, tol=1.34e-06]
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PGD: 36%|###5 | 1799/5000 [00:00<00:01, 2011.34it/s, iter=2.02e+03, step_size=0.893, tol=1.33e-06]
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PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1996.42it/s, iter=3.29e+03, step_size=0.893, tol=6.51e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1996.05it/s, iter=3.29e+03, step_size=0.893, tol=6.51e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1995.92it/s, iter=3.29e+03, step_size=0.893, tol=6.48e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1995.52it/s, iter=3.29e+03, step_size=0.893, tol=6.48e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1995.39it/s, iter=3.29e+03, step_size=0.893, tol=6.45e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1994.93it/s, iter=3.29e+03, step_size=0.893, tol=6.45e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1994.80it/s, iter=3.3e+03, step_size=0.893, tol=6.42e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1994.44it/s, iter=3.3e+03, step_size=0.893, tol=6.42e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1994.31it/s, iter=3.3e+03, step_size=0.893, tol=6.4e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1993.95it/s, iter=3.3e+03, step_size=0.893, tol=6.4e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1993.82it/s, iter=3.3e+03, step_size=0.893, tol=6.37e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1993.46it/s, iter=3.3e+03, step_size=0.893, tol=6.37e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1993.34it/s, iter=3.3e+03, step_size=0.893, tol=6.34e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1992.97it/s, iter=3.3e+03, step_size=0.893, tol=6.34e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1992.85it/s, iter=3.3e+03, step_size=0.893, tol=6.32e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1992.48it/s, iter=3.3e+03, step_size=0.893, tol=6.32e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1992.36it/s, iter=3.3e+03, step_size=0.893, tol=6.29e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1992.00it/s, iter=3.3e+03, step_size=0.893, tol=6.29e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1991.87it/s, iter=3.3e+03, step_size=0.893, tol=6.27e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1991.51it/s, iter=3.3e+03, step_size=0.893, tol=6.27e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1991.39it/s, iter=3.3e+03, step_size=0.893, tol=6.24e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1991.02it/s, iter=3.3e+03, step_size=0.893, tol=6.24e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1990.90it/s, iter=3.3e+03, step_size=0.893, tol=6.21e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1990.53it/s, iter=3.3e+03, step_size=0.893, tol=6.21e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1990.41it/s, iter=3.3e+03, step_size=0.893, tol=6.19e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1990.03it/s, iter=3.3e+03, step_size=0.893, tol=6.19e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1989.91it/s, iter=3.30e+03, step_size=0.893, tol=6.16e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1989.54it/s, iter=3.30e+03, step_size=0.893, tol=6.16e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1989.40it/s, iter=3.31e+03, step_size=0.893, tol=6.14e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1989.01it/s, iter=3.31e+03, step_size=0.893, tol=6.14e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1988.89it/s, iter=3.31e+03, step_size=0.893, tol=6.11e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1988.52it/s, iter=3.31e+03, step_size=0.893, tol=6.11e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1988.40it/s, iter=3.31e+03, step_size=0.893, tol=6.09e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1988.02it/s, iter=3.31e+03, step_size=0.893, tol=6.09e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1987.90it/s, iter=3.31e+03, step_size=0.893, tol=6.06e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1987.49it/s, iter=3.31e+03, step_size=0.893, tol=6.06e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1987.36it/s, iter=3.31e+03, step_size=0.893, tol=6.03e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1987.00it/s, iter=3.31e+03, step_size=0.893, tol=6.03e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1986.87it/s, iter=3.31e+03, step_size=0.893, tol=6.01e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1986.48it/s, iter=3.31e+03, step_size=0.893, tol=6.01e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1986.34it/s, iter=3.31e+03, step_size=0.893, tol=5.98e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1985.98it/s, iter=3.31e+03, step_size=0.893, tol=5.98e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1985.86it/s, iter=3.31e+03, step_size=0.893, tol=5.96e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1985.50it/s, iter=3.31e+03, step_size=0.893, tol=5.96e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1985.37it/s, iter=3.31e+03, step_size=0.893, tol=5.93e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1984.97it/s, iter=3.31e+03, step_size=0.893, tol=5.93e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1984.84it/s, iter=3.32e+03, step_size=0.893, tol=5.91e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1984.48it/s, iter=3.32e+03, step_size=0.893, tol=5.91e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1984.36it/s, iter=3.32e+03, step_size=0.893, tol=5.89e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1984.00it/s, iter=3.32e+03, step_size=0.893, tol=5.89e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1983.87it/s, iter=3.32e+03, step_size=0.893, tol=5.86e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1983.51it/s, iter=3.32e+03, step_size=0.893, tol=5.86e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1983.39it/s, iter=3.32e+03, step_size=0.893, tol=5.84e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1983.03it/s, iter=3.32e+03, step_size=0.893, tol=5.84e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1982.91it/s, iter=3.32e+03, step_size=0.893, tol=5.81e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1982.55it/s, iter=3.32e+03, step_size=0.893, tol=5.81e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1982.42it/s, iter=3.32e+03, step_size=0.893, tol=5.79e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1982.06it/s, iter=3.32e+03, step_size=0.893, tol=5.79e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1981.94it/s, iter=3.32e+03, step_size=0.893, tol=5.76e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1981.58it/s, iter=3.32e+03, step_size=0.893, tol=5.76e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1981.45it/s, iter=3.32e+03, step_size=0.893, tol=5.74e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1981.09it/s, iter=3.32e+03, step_size=0.893, tol=5.74e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1980.95it/s, iter=3.32e+03, step_size=0.893, tol=5.72e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1980.57it/s, iter=3.32e+03, step_size=0.893, tol=5.72e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1980.45it/s, iter=3.32e+03, step_size=0.893, tol=5.69e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1980.06it/s, iter=3.32e+03, step_size=0.893, tol=5.69e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1979.92it/s, iter=3.32e+03, step_size=0.893, tol=5.67e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1979.56it/s, iter=3.32e+03, step_size=0.893, tol=5.67e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1979.44it/s, iter=3.33e+03, step_size=0.893, tol=5.64e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1979.08it/s, iter=3.33e+03, step_size=0.893, tol=5.64e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1978.96it/s, iter=3.33e+03, step_size=0.893, tol=5.62e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1978.60it/s, iter=3.33e+03, step_size=0.893, tol=5.62e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1978.48it/s, iter=3.33e+03, step_size=0.893, tol=5.6e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1978.12it/s, iter=3.33e+03, step_size=0.893, tol=5.6e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1977.99it/s, iter=3.33e+03, step_size=0.893, tol=5.57e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1977.64it/s, iter=3.33e+03, step_size=0.893, tol=5.57e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1977.51it/s, iter=3.33e+03, step_size=0.893, tol=5.55e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1977.16it/s, iter=3.33e+03, step_size=0.893, tol=5.55e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1977.04it/s, iter=3.33e+03, step_size=0.893, tol=5.53e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1976.68it/s, iter=3.33e+03, step_size=0.893, tol=5.53e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1976.56it/s, iter=3.33e+03, step_size=0.893, tol=5.51e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1976.20it/s, iter=3.33e+03, step_size=0.893, tol=5.51e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1976.08it/s, iter=3.33e+03, step_size=0.893, tol=5.48e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1975.68it/s, iter=3.33e+03, step_size=0.893, tol=5.48e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1975.56it/s, iter=3.33e+03, step_size=0.893, tol=5.46e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1975.20it/s, iter=3.33e+03, step_size=0.893, tol=5.46e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1975.05it/s, iter=3.34e+03, step_size=0.893, tol=5.44e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1974.67it/s, iter=3.34e+03, step_size=0.893, tol=5.44e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1974.55it/s, iter=3.34e+03, step_size=0.893, tol=5.41e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1974.17it/s, iter=3.34e+03, step_size=0.893, tol=5.41e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1974.03it/s, iter=3.34e+03, step_size=0.893, tol=5.39e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1973.67it/s, iter=3.34e+03, step_size=0.893, tol=5.39e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1973.55it/s, iter=3.34e+03, step_size=0.893, tol=5.37e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1973.19it/s, iter=3.34e+03, step_size=0.893, tol=5.37e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1973.07it/s, iter=3.34e+03, step_size=0.893, tol=5.35e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1972.71it/s, iter=3.34e+03, step_size=0.893, tol=5.35e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1972.59it/s, iter=3.34e+03, step_size=0.893, tol=5.32e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1972.23it/s, iter=3.34e+03, step_size=0.893, tol=5.32e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1972.11it/s, iter=3.34e+03, step_size=0.893, tol=5.3e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1971.76it/s, iter=3.34e+03, step_size=0.893, tol=5.3e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1971.63it/s, iter=3.34e+03, step_size=0.893, tol=5.28e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1971.28it/s, iter=3.34e+03, step_size=0.893, tol=5.28e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1971.16it/s, iter=3.34e+03, step_size=0.893, tol=5.26e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1970.80it/s, iter=3.34e+03, step_size=0.893, tol=5.26e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1970.68it/s, iter=3.34e+03, step_size=0.893, tol=5.24e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1970.33it/s, iter=3.34e+03, step_size=0.893, tol=5.24e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1970.20it/s, iter=3.34e+03, step_size=0.893, tol=5.21e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1969.81it/s, iter=3.34e+03, step_size=0.893, tol=5.21e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1969.66it/s, iter=3.35e+03, step_size=0.893, tol=5.19e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1969.31it/s, iter=3.35e+03, step_size=0.893, tol=5.19e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1969.19it/s, iter=3.35e+03, step_size=0.893, tol=5.17e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1968.83it/s, iter=3.35e+03, step_size=0.893, tol=5.17e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1968.71it/s, iter=3.35e+03, step_size=0.893, tol=5.15e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1968.36it/s, iter=3.35e+03, step_size=0.893, tol=5.15e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1968.23it/s, iter=3.35e+03, step_size=0.893, tol=5.13e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1967.88it/s, iter=3.35e+03, step_size=0.893, tol=5.13e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1967.76it/s, iter=3.35e+03, step_size=0.893, tol=5.11e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1967.41it/s, iter=3.35e+03, step_size=0.893, tol=5.11e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1967.28it/s, iter=3.35e+03, step_size=0.893, tol=5.09e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1966.89it/s, iter=3.35e+03, step_size=0.893, tol=5.09e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1966.77it/s, iter=3.35e+03, step_size=0.893, tol=5.06e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1966.39it/s, iter=3.35e+03, step_size=0.893, tol=5.06e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1966.25it/s, iter=3.35e+03, step_size=0.893, tol=5.04e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1965.90it/s, iter=3.35e+03, step_size=0.893, tol=5.04e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1965.78it/s, iter=3.35e+03, step_size=0.893, tol=5.02e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1965.42it/s, iter=3.35e+03, step_size=0.893, tol=5.02e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1965.30it/s, iter=3.36e+03, step_size=0.893, tol=5e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1964.90it/s, iter=3.36e+03, step_size=0.893, tol=5e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1964.78it/s, iter=3.36e+03, step_size=0.893, tol=4.98e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1964.42it/s, iter=3.36e+03, step_size=0.893, tol=4.98e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1964.30it/s, iter=3.36e+03, step_size=0.893, tol=4.96e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1963.94it/s, iter=3.36e+03, step_size=0.893, tol=4.96e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1963.82it/s, iter=3.36e+03, step_size=0.893, tol=4.94e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1963.46it/s, iter=3.36e+03, step_size=0.893, tol=4.94e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1963.34it/s, iter=3.36e+03, step_size=0.893, tol=4.92e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1962.98it/s, iter=3.36e+03, step_size=0.893, tol=4.92e-09]
PGD: 62%|######2 | 3112/5000 [00:01<00:00, 1962.86it/s, iter=3.36e+03, step_size=0.893, tol=4.9e-09]
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PGD: 72%|#######2 | 3623/5000 [00:01<00:00, 2146.59it/s, iter=3.62e+03, step_size=0.893, tol=1.64e-09]
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PGD: 82%|########2 | 4102/5000 [00:01<00:00, 2167.26it/s, iter=4.1e+03, step_size=0.893, tol=2.23e-10]
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PGD: 96%|#########5| 4788/5000 [00:02<00:00, 2082.24it/s, iter=5e+03, step_size=0.893, tol=5.4e-12]
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PGD: 96%|#########5| 4788/5000 [00:02<00:00, 2080.76it/s, iter=5e+03, step_size=0.893, tol=5.31e-12]
PGD: 100%|##########| 5000/5000 [00:02<00:00, 2172.64it/s, iter=5e+03, step_size=0.893, tol=5.31e-12]
beta = 0.1
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PGD: 10%|# | 518/5000 [00:00<00:02, 1841.98it/s, iter=715, step_size=0.893, tol=1.12e-14]
PGD: 10%|# | 518/5000 [00:00<00:02, 1841.35it/s, iter=716, step_size=0.893, tol=1.08e-14]
PGD: 10%|# | 518/5000 [00:00<00:02, 1839.64it/s, iter=716, step_size=0.893, tol=1.08e-14]
PGD: 10%|# | 518/5000 [00:00<00:02, 1839.01it/s, iter=717, step_size=0.893, tol=1.04e-14]
PGD: 10%|# | 518/5000 [00:00<00:02, 1837.29it/s, iter=717, step_size=0.893, tol=1.04e-14]
PGD: 10%|# | 518/5000 [00:00<00:02, 1836.66it/s, iter=718, step_size=0.893, tol=9.98e-15]
Achieved relative tolerance at iteration 718
PGD: 10%|# | 518/5000 [00:00<00:02, 1835.38it/s, iter=718, step_size=0.893, tol=9.98e-15]
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PGD: 10%|9 | 478/5000 [00:00<00:02, 1604.67it/s, iter=718, step_size=0.893, tol=9.98e-15]
Achieved relative tolerance at iteration 718
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beta = 0.2
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Achieved relative tolerance at iteration 661
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Achieved relative tolerance at iteration 661
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/home/fabian/anaconda3/lib/python3.6/site-packages/matplotlib/figure.py:445: UserWarning: Matplotlib is currently using agg, which is a non-GUI backend, so cannot show the figure.
% get_backend())
import copt as cp
import numpy as np
import pylab as plt
from scipy import sparse
np.random.seed(0)
# .. generate some data ..
n_samples, n_features = 100, 100
groups = [np.arange(10 * i, 10 * i + 10) for i in range(10)]
# .. construct a ground truth vector in which ..
# .. group 4 and 5 are nonzero ..
ground_truth = np.zeros(n_features)
ground_truth[groups[4]] = 1
ground_truth[groups[5]] = 0.5
max_iter = 5000
print('#features', n_features)
A = sparse.rand(n_samples, n_features, density=0.2)
sigma = 1.
b = A.dot(ground_truth) + sigma * np.random.randn(n_samples)
np.random.seed(0)
n_samples = n_features
# .. compute the step-size ..
f = cp.utils.SquareLoss(A, b)
step_size = 1. / f.lipschitz
# .. run the solver for different values ..
# .. of the regularization parameter beta ..
all_betas = [0, 1e-2, 1e-1, 0.2]
all_trace_ls, all_trace_nols = [], []
out_img = []
for i, beta in enumerate(all_betas):
print('beta = %s' % beta)
G1 = cp.utils.GroupL1(beta, groups)
def loss(x):
return f(x) + G1(x)
cb_tosls = cp.utils.Trace()
x0 = np.zeros(n_features)
pgd_ls = cp.minimize_proximal_gradient(
f.f_grad, x0, G1.prox, step_size=step_size,
max_iter=max_iter, tol=1e-14, verbose=1,
callback=cb_tosls)
trace_ls = np.array([loss(x) for x in cb_tosls.trace_x])
all_trace_ls.append(trace_ls)
cb_tos = cp.utils.Trace()
x0 = np.zeros(n_features)
pgd = cp.minimize_proximal_gradient(
f.f_grad, x0, G1.prox,
step_size=step_size,
max_iter=max_iter, tol=1e-14, verbose=1,
callback=cb_tos)
trace_nols = np.array([loss(x) for x in cb_tos.trace_x])
all_trace_nols.append(trace_nols)
out_img.append(pgd.x)
# .. plot the results ..
fig, ax = plt.subplots(2, 4, sharey=False)
xlim = [0.02, 0.02, 0.1]
markevery = [1000, 1000, 100, 100]
for i, beta in enumerate(all_betas):
ax[0, i].set_title(r'$\lambda=%s$' % beta)
ax[0, i].set_title(r'$\lambda=%s$' % beta)
ax[0, i].plot(out_img[i])
ax[0, i].plot(ground_truth)
ax[0, i].set_ylim((-0.5, 1.5))
ax[0, i].set_xticks(())
ax[0, i].set_yticks(())
fmin = min(np.min(all_trace_ls[i]), np.min(all_trace_nols[i]))
scale = all_trace_ls[i][0] - fmin
plot_tos, = ax[1, i].plot(
(all_trace_ls[i] - fmin) / scale,
lw=4, marker='o', markevery=100,
markersize=10)
plot_nols, = ax[1, i].plot(
(all_trace_nols[i] - fmin) / scale,
lw=4, marker='h', markevery=markevery[i],
markersize=10)
ax[1, i].set_xlabel('Iterations')
ax[1, i].set_yscale('log')
ax[1, i].set_ylim((1e-14, None))
ax[1, i].grid(True)
plt.gcf().subplots_adjust(bottom=0.15)
plt.figlegend(
(plot_tos, plot_nols),
('PGD with line search', 'PGD without line search'), ncol=5,
scatterpoints=1,
loc=(-0.00, -0.0), frameon=False,
bbox_to_anchor=[0.05, 0.01])
ax[1, 0].set_ylabel('Objective minus optimum')
plt.show()
Total running time of the script: ( 0 minutes 11.572 seconds)
Estimated memory usage: 9 MB
